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Monopole Operators and Mirror Symmetry in Three Dimensions

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arxiv hep-th/0207074 v2 pith:T45ONRYO submitted 2002-07-09 hep-th

Vadim Borokhov , Anton Kapustin , Xinkai Wu This is my paper · ORCID
classification hep-th
keywords operatorsmonopoledimensionsmirrorsymmetrythreelarge-nfpredictions
verification ladder T0 review T1 audit T2 compute T3 formal
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We study vortex-creating, or monopole, operators in 3d CFTs which are the infrared limit of N=2 and N=4 supersymmetric QEDs in three dimensions. Using large-Nf expansion, we construct monopole operators which are primaries of short representations of the superconformal algebra. Mirror symmetry in three dimensions makes a number of predictions about such operators, and our results confirm these predictions. Furthermore, we argue that some of our large-Nf results are exact. This implies, in particular, that certain monopole operators in N=4 d=3 SQED with Nf=1 are free fields. This amounts to a proof of 3d mirror symmetry in a special case.

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Cited by 4 Pith papers

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